Spatiotemporal wave and soliton solutions to the generalized (3+1) -dimensional Gross-Pitaevskii equation

Nikola Z. Petrović; Milivoj Belić; Wei Ping Zhong

doi:10.1103/PhysRevE.81.016610

Spatiotemporal wave and soliton solutions to the generalized (3+1) -dimensional Gross-Pitaevskii equation

Nikola Z. Petrović, Milivoj Belić, Wei Ping Zhong

Research output: Contribution to journal › Article › peer-review

34 Citations (Scopus)

Abstract

Exact extended traveling wave and spatiotemporal soliton solutions to the generalized (3+1) -dimensional Gross-Pitaevskii equation with time-dependent coefficients are obtained. The case with constant diffraction and parabolic potential strength, but with variable gain, is discussed in some detail. It is found that gain in the system is necessary for the appearance of stable solitons.

Original language	English
Article number	016610
Journal	Physical Review E
Volume	81
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.81.016610
Publication status	Published - 20 Jan 2010
Externally published	Yes

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abstract = "Exact extended traveling wave and spatiotemporal soliton solutions to the generalized (3+1) -dimensional Gross-Pitaevskii equation with time-dependent coefficients are obtained. The case with constant diffraction and parabolic potential strength, but with variable gain, is discussed in some detail. It is found that gain in the system is necessary for the appearance of stable solitons.",

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AU - Zhong, Wei Ping

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AB - Exact extended traveling wave and spatiotemporal soliton solutions to the generalized (3+1) -dimensional Gross-Pitaevskii equation with time-dependent coefficients are obtained. The case with constant diffraction and parabolic potential strength, but with variable gain, is discussed in some detail. It is found that gain in the system is necessary for the appearance of stable solitons.

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Spatiotemporal wave and soliton solutions to the generalized (3+1) -dimensional Gross-Pitaevskii equation

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